Statistics
Basics
- Probability Density Function: Definition and Examples
- Probability Density Functions in R (Examples)
- Z-Score: Definition, Formula, and Example
Critical Value Tables
- Z table: Two-tail and One-tail
- Chi-square Critical Value Table
- F-Distribution Critical Value Table
- t-distribution Table
Error, Residual, and Deviation
- Difference between Mean Squared Residuals (MSR) and Mean Square Error (MSE)
- The Relationship between Mean Squared Error (MSE) and Residual Sum of Squares (RSS)
- Difference between MSD and MSE
- Calculate Sum of Squared Residuals (SSR) in R (R, Python)
- Use sklearn to Calculate SSR in Python
- Calculate Mean Squared Residuals (MSR) in R (R, Python)
- Calculate Mean Squared Error (MSE) (R, Python)
- How to Calculate Mean Squared Deviation in R
- Sum of Squares: Formulas and Examples
- Difference between Population Variance and Sample Variance
Advanced Statistics
- Difference between Logit and Probit
- Comparisons of t-distribution and Normal distribution
- Principal Component Analysis
Hypothesis
- How to write null and alternative hypotheses
- How to Write Null and Alternative Hypothesis for Two-Way ANOVA
Statistics for Analytics
- What is the difference between independent and paired sample t-test
- Two sample t-test: Definition, formula, and Examples
- One sample t-test: Definition, Formula, and Examples
- What is correlation? Definition and Formula
- When to use t-test versus correlation in data analysis
- What is Linear Regression Model? Definition and Example
- How to Solve Linear Regression Using Linear Algebra (4 Steps)
- Logistic Regression: Definition and Example
- How to Interpret Interaction Effect in Multiple Linear Regression
- Understanding Interaction Effects in Data Analysis
- One Variable Chi-square: Definition, examples, and formula
ANOVA
- Calculate Sum of Squares Total (SST) (R)
- What is one-way ANOVA? Formula and Example
- ANOVA Assumptions
- Test Normality Assumption for ANOVA in R
- Test Homogeneity of Variance in R
- Type 1, Type 2, and Type 3 ANOVA
- Choice between Type I, Type II, and Type III ANOVA (with examples)
- Why Type I ANOVA is Sequential Sum of Squares (R code example)
Academic Research (Mediation analysis in R)
- Mediation Analysis in R from Scratch (with R code)
- Mediation Analysis for Count Data (with R code)
- Serial Mediation for Count Data (with R code)
- R code for Serial Mediation
Space and Projection
- Linear Subspace
- Difference between Space and Subspace
- Vector and Arrow in Space
- Linear Regression and Orthogonal Projection